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Chapter 12: Q 134. (page 1198)

In the exercise, determine if each sequence is arithmetic, geometric or neither. If arithmetic, indicate the common difference. If geometric, indicate the common ratio.

12,6,0,-6,-12,-18,...

Short Answer

Expert verified

The sequence is arithmetic with common difference equal to-6.

Step by step solution

01

Step 1. Given information

The sequence is12,6,0,-6,-12,-18,...

02

Step 2. Determine if the sequence is arithmetic, geometric or neither.

Consider the sequence 12,6,0,-6,-12,-18,...

6-12=-60-6=-6-6-0=-6-12+6=-6-18+12=-6

The sequence is arithmetic with common difference equal to-6

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